The paper deals with the existence of nonnegative solutions for $(p,N)$ systems in ${\mathbb{R}}^N$ involving critical exponential growth nonlinearities. The constructed solution has both components nontrivial and different, that is it solves the actual system, which does not reduce into an equation. The main feature and novelty of the paper is the presence of a general coupled critical exponential term of the Trudinger–Moser type, set in ${\mathbb{R}}^N$.

中文翻译：

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椭圆耦合系统 ${\mathbb{[R}}^{ñ}$ 与 $（p，ñ）$ 拉普拉斯和临界指数非线性

本文讨论了非负解的存在 $（p，ñ）$ 系统在 ${\mathbb{[R}}^{ñ}$涉及关键的指数增长非线性。构造的解决方案具有非平凡且不同的组成部分，即它可以解决实际系统，而不会简化为方程式。本文的主要特征和新颖之处在于存在于Trudinger-Moser类型的通用耦合临界指数项，设置为${\mathbb{[R}}^{ñ}$。